Time-division Efficient Parallel Algorithm for Designing Metallic Slabs for Quantum Walk

Abstract

Parallel computing techniques play an important role in computational electromagnetics for performing fast and efficient simulation. In conventional techniques, the entire space is divided into many smaller parts whose computational loads are distributed into cluster. This paper reports a novel parallel technique, i.e., a time-division algorithm. In our method, EM field in frequency-domain is obtained by the finite-difference complex-frequency-domain (FDCFD) method. The field in the complex-frequency-domain is transformed into the time domain by fast inverse Laplace transform (FILT). The advantage of the proposed technique is that we can efficiently obtain the response at required observation time by parallel computing. As a numerical example of applications, a plasmonic waveguide array (PWA) using metallic slabs is designed for quantum walk toward developing quantum information technology. Properties of PWA will be discussed in comparison with classical random walk.